Question

sin(90°-30°) sec(180°-o) sin(-o) /
sin (180+30°) cot (360°) cosec (90°+o)​

Answer 1

Assume x is theta.

sin(90-30)sec(180-x)sin(-x)

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sin(180+30)cot(360)cosec(90+x)

Since cot360 is undefined , so ignoring cot360.

If cot360 is taken in the expression then the expression becomes undefined too.

--> cos(30)(-secx)(-sinx)

_________________

-sin30(-secx)

--> √3/2(-sinx)(-cosx)

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-1/2

--> -√3(sinx.cosx). [ Simplified expression ]

If x was = 0

then,

--> -√3(sin0.cos0)

--> -√3(1×0)

--> 0